can you do this?

Question

find the rate of change of the volume of a sphere with respect to the radius when the radius is 2 inches. the volume of a sphere is given by the formula v(r)=4pi r ^2

Answer 1

Hello,
I believe that the volume of a sphere is 4/3 pi r^3.

Take the derivative with respect to r and we have.

dv/dr = 4/3 pi*3r^2 now put in r =2 and we have

dv/dr = 16 pi

Hope This Helps!!

Answer 2

surface area of sphere is 4 pi r^2
volume of sphere is 4/3 pi r^3